Not the parent poster, but in my experience - yes.
I mainly program in C++, and the past 5 years or so of writing Rust has drastically changed the way I write code (in general). Sometimes, if the problem is particularly hairy, I'll even write the code in a similar way in Rust first and then port it back to C++ after the compiler has helped me iron out my mistakes.
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Are things you have learned so far transferable back to C? Can you with your new experience consider yourself a better C coder?
Not the parent poster, but in my experience - yes.
I mainly program in C++, and the past 5 years or so of writing Rust has drastically changed the way I write code (in general). Sometimes, if the problem is particularly hairy, I'll even write the code in a similar way in Rust first and then port it back to C++ after the compiler has helped me iron out my mistakes.